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VashaNatasha [74]
3 years ago
15

How many ways can 7 books be arranged on a shelf 5 at a time?

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0
Symbolically, write this:

   C
7     5.  Know how to evaluate that?


C stands for "combination."
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How many acute angles are in an acute triangle?
Leokris [45]

Answer:

Three acute angles.

Explanation:

There are always three acute angles in an acute triangle.

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3 years ago
Please please please help asap
blondinia [14]

Answer:

The answer is 22 cards are left in the stack.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What multiplication expression is equal to 3/4 divided by 1/3
kakasveta [241]

Answer:

<u>3</u> * <u>3</u>

4    1

Step-by-step explanation:

To convert division problems with fraction into multiplication problems use the KCF rule

  • Keep the 1st Fraction the same
  • Change the division sign to a multiplication sign
  • Flip the fraction (reciprocal)

5 0
3 years ago
Very confusing i know
777dan777 [17]

Answer:

  • (x + 10)² + (y + 4)² = 232

Step-by-step explanation:

<h3>Given </h3>
  • Center = (-10, -4)
  • Point on circle = (4, 2)
<h3>To find </h3>
  • The equation of circle
<h3>Solution</h3>

<u>Remember the standard equation of circle:</u>

  • (x - h)² + (y - k)² = r², where (h, k) is the center and r is radius

<u>We have</u>

  • h = -10, k = -4

Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.

<u>Here we are finding the distance between points (-10, -4) and (4, 2)</u>

  • r² = (-10 - 4)² + (-4 - 2)²
  • r² = 14² + 6²
  • r² = 232

<u>So the equation is:</u>

  • (x + 10)² + (y + 4)² = 232
7 0
3 years ago
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa
4vir4ik [10]

Using the z-distribution, it is found that since the <u>test statistic is greater than the critical value</u>, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is <u>tested if the mean length of jail time is still of 2.5 years</u>, that is:

H_0: \mu = 2.5

At the alternative hypothesis, it is <u>tested if it has increased</u>, that is:

H_1: \mu > 2.5

We have the <u>standard deviation for the population</u>, thus, the z-distribution is used. The test statistic is given by:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the sample.
  • n is the sample size.

For this problem, the values of the <u>parameters</u> are: \overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26

Hence, the value of the <u>test statistic</u> is:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}

z = 1.7

The critical value for a <u>right-tailed test</u>, as we are testing if the mean is greater than a value, with a <u>significance level of 0.05</u>, is of z^{\ast} = 1.645

Since the <u>test statistic is greater than the critical value</u>, it can be concluded that the mean length of jail time has increased.

A similar problem is given at brainly.com/question/24166849

5 0
3 years ago
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